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Article
Physics, Particles & Fields
Gregory P. Korchemsky et al.
Summary: We analyze the commutation relations of light-ray operators in conformal field theories. We first establish the algebra of light-ray operators built out of higher spin currents in free CFTs and find explicit expressions for the corresponding structure constants. The resulting algebras are remarkably similar to the generalized Zamolodchikov's W-infinity algebra in a two-dimensional conformal field theory. We then compute the commutator of generalized energy flow operators in a generic, interacting CFTs in d > 2. We show that it receives contribution from the energy flow operator itself, as well as from the light-ray operators built out of scalar primary operators of dimension increment Delta <= d - 2, that are present in the OPE of two stress-energy tensors. Commutators of light-ray operators considered in the present paper lead to CFT sum rules which generalize the superconvergence relations and naturally connect to the dispersive sum rules, both of which have been studied recently.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Robin Karlsson et al.
Summary: This research investigates the role of Catalan numbers in the Virasoro heavy-heavy-light-light (HHLL) vacuum blocks and HHLL W-N vacuum blocks in two spacetime dimensions. It reveals that these numbers play a crucial role in the generating function equation and the correlation of stress tensor in the latter case.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Andrei Parnachev
Summary: Under certain conditions, the properties of HHLL correlators in CFTs can be described by a double scaling limit, where the stress tensor sector receives contributions from multiple stress tensor operators, and the value of the correlator is related to the length of spacelike geodesics.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Particles & Fields
D. Rodriguez-Gomez et al.
Summary: Studying 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography provides insights into universal formulas for holographic free energy. By including alpha ' corrections, leading corrections at strong coupling can be reproduced. 3-point functions exhibit intricate structures and interesting properties, including a factorization property when dimensions satisfy specific conditions, suggesting that factorization in d > 2 is a reflection of the semiclassical regime.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Hare Krishna et al.
Summary: In this study, 2-point correlation functions for scalar operators in position space are examined using holography, with a focus on operators with large conformal dimensions. The geodesic approximation is utilized for propagators. In addition to the main contribution, a correction involving bulk cubic couplings and higher curvature couplings is identified, which provides insight into the interior of a black hole.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Andrei Parnachev et al.
Summary: This study focuses on the eikonal phase associated with gravitational scattering in AdS spacetime between a highly energetic light particle and a heavy object. By using the WKB approximation and considering all orders in the impact parameter to the Schwarzschild radius ratio, the eikonal phase is computed. The research also explores the double scaling limit where both momentum and the AdS black hole become very large simultaneously.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Alexandre Belin et al.
Summary: The study focuses on correlation functions involving generalized ANEC operators and extracting the algebra of these light-ray operators. A global subalgebra spanned by specific n values exists in conformal theories, while operators outside this range give rise to an infinite central term.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Nikolay Bobev et al.
Summary: The passage discusses the set of protected operators in a six-dimensional N = (2, 0) SCFT whose correlation functions can be controlled by a two-dimensional chiral algebra. The alternative construction of this chiral algebra involves an Omega-deformation and equivariant integration to determine the central charge. Additionally, the construction is extended to include orbifolds of the R-4 transverse to the chiral algebra plane.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Mert Besken et al.
Summary: In Lorentzian CFTs, general properties of commutators of local operators are discussed, obtained through analytic continuation of the Euclidean operator product expansion. Explicit computations are provided for commutators of stress-tensor components in two and four-dimensional CFTs, along with rederived familiar results and considerations of light-ray operators. An infinite set of well-defined light-ray operators built from the stress-tensor in four-dimensional CFT is defined, maintaining similar properties to their two-dimensional analogues.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
D. Rodriguez-Gomez et al.
Summary: The thermal 2-point correlation functions in the black brane AdS(5) background dual to 4d CFT's at finite temperature for operators of large scaling dimension were computed. A formula matching the expected structure of the OPE was found, showing an exponentiation property whose origin was explained. Additionally, the first correction to the two-point function due to graviton emission, encoding the proper time from the event horizon to the black hole singularity, was computed.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Robin Karlsson et al.
Summary: In d-dimensional CFTs with a large number of degrees of freedom, the thermalization of stress tensor and multi stress tensor operators is equivalent to a universal behavior of their OPE coefficients with a pair of identical heavy operators. In free CFTs, multi stress tensor operators thermalize while light operators do not.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Kuo-Wei Huang
Summary: In this study, the operator product expansion of stress tensors in conformal field theories with a bulk dual of Einstein gravity in d > 2 dimensions was investigated. An algebraic structure consistent with the Jacobi identity was obtained from the TT OPE in a certain null-like limit, with a dimensionless constant C proportional to the central charge. Transverse integrals play a crucial role in the definition of L-m, and a connection between near-lightcone stress-tensor conformal block in d > 2 dimensions and the d = 2W algebra was observed.
Article
Physics, Particles & Fields
Robin Karlsson et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
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Physics, Particles & Fields
Yue-Zhou Li
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
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Physics, Particles & Fields
Robin Karlsson et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
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Physics, Particles & Fields
Robin Karlsson
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
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Physics, Particles & Fields
A. Liam Fitzpatrick et al.
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(2020)
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Kuo-Wei Huang
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A. Liam Fitzpatrick et al.
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(2019)
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Yue-Zhou Li et al.
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(2019)
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Physics, Particles & Fields
Alexandre Belin et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
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Physics, Particles & Fields
Manuela Kulaxizi et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
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Physics, Particles & Fields
A. Liam Fitzpatrick et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Multidisciplinary
David Poland et al.
REVIEWS OF MODERN PHYSICS
(2019)
Article
Astronomy & Astrophysics
Kuo-Wei Huang
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Mechanics
Nima Lashkari et al.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2018)
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Physics, Particles & Fields
David Meltzer et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
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Physics, Particles & Fields
Nima Afkhami-Jeddi et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2017)
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Xian O. Camanho et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2016)
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Christopher Beem et al.
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(2015)
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Eric Perlmutter
JOURNAL OF HIGH ENERGY PHYSICS
(2015)
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A. Liam Fitzpatrick et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2015)
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(2015)
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Christopher Beem et al.
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(2015)
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A. Liam Fitzpatrick et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2014)
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Idse Heemskerk et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2009)
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Physics, Particles & Fields
D Brecher et al.
Article
Astronomy & Astrophysics
M Bañados et al.
